Search a number
-
+
499542144 = 27317591297
BaseRepresentation
bin11101110001100…
…110100010000000
31021210222100222220
4131301212202000
52010340322034
6121322531040
715244016043
oct3561464200
91253870886
10499542144
11236a84452
1211b366a80
137c65488a
144a4b6c5a
152dcc7749
hex1dc66880

499542144 has 128 divisors (see below), whose sum is σ = 1429876800. Its totient is φ = 153944064.

The previous prime is 499542133. The next prime is 499542163. The reversal of 499542144 is 441245994.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 499542096 and 499542105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384504 + ... + 385800.

Almost surely, 2499542144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714938400).

499542144 is an abundant number, since it is smaller than the sum of its proper divisors (930334656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

499542144 is a wasteful number, since it uses less digits than its factorization.

499542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1378 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 499542144 is about 22350.4394587668. The cubic root of 499542144 is about 793.4581849655.

The spelling of 499542144 in words is "four hundred ninety-nine million, five hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 64 68 96 102 118 128 136 177 192 204 236 272 354 384 408 472 544 708 816 944 1003 1088 1297 1416 1632 1888 2006 2176 2594 2832 3009 3264 3776 3891 4012 5188 5664 6018 6528 7552 7782 8024 10376 11328 12036 15564 16048 20752 22049 22656 24072 31128 32096 41504 44098 48144 62256 64192 66147 76523 83008 88196 96288 124512 128384 132294 153046 166016 176392 192576 229569 249024 264588 306092 352784 385152 459138 498048 529176 612184 705568 918276 1058352 1224368 1300891 1411136 1836552 2116704 2448736 2601782 2822272 3673104 3902673 4233408 4897472 5203564 7346208 7805346 8466816 9794944 10407128 14692416 15610692 20814256 29384832 31221384 41628512 62442768 83257024 124885536 166514048 249771072 499542144